Application to differential transformation method for solving systems of differential equations

DOI10.1016/j.apm.2007.09.025zbMath1167.65417OpenAlexW1994781397MaRDI QIDQ838192

I. H. Abdel-Halim Hassan

Publication date: 23 August 2009

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2007.09.025

zbMATH Keywords

Runge-Kutta methodsystems of differential equationsTaylor's series expansiondifferential transformationstiff differential system

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for ordinary differential equations (65L99)

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Cites Work

• Unnamed Item
• The investigation of the transient regimes in the nonlinear systems by the generalized classical method
• Solution of two-point boundary-value problems using the differential transformation method
• Vibration analysis of continuous systems by differential transformation
• Application of differential transformation to eigenvalue problems
• Solution of the system of ordinary differential equations by Adomian decomposition method.
• Application of Taylor transformation to nonlinear predictive control problem
• Two-dimensional differential transform for partial differential equations
• A new method for computing the solutions of differential equation systems using generalized inverse via Maple
• Differential transformation technique for solving higher-order initial value problems
• A reliable method for the numerical solution of the kinetics problems
• On the numerical solution of stiff systems
• The Accuracy of Error Estimates for Systems of Linear Algebraic Equations
• Comparing Numerical Methods for Ordinary Differential Equations
• On solving the initial-value problems using the differential transformation method

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